224221140 has 288 divisors, whose sum is σ = 827753472. Its totient is φ = 48384000.

The previous prime is 224221139. The next prime is 224221157. The reversal of 224221140 is 41122422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 797800 + ... + 798080.

It is an arithmetic number, because the mean of its divisors is an integer number (2874144).

Almost surely, 2^224221140 is an apocalyptic number.

224221140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413876736).

224221140 is an abundant number, since it is smaller than the sum of its proper divisors (603532332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224221140 is a wasteful number, since it uses less digits than its factorization.

224221140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 224221140 is about 14974.0154935141. The cubic root of 224221140 is about 607.5175831927.

Adding to 224221140 its reverse (41122422), we get a palindrome (265343562).

The spelling of 224221140 in words is "two hundred twenty-four million, two hundred twenty-one thousand, one hundred forty".